Wu WT, Aubry N, Antaki JF, Massoudi M. A non-linear fluid suspension model for blood flow.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 2019;
109:32-39. [PMID:
31447489 PMCID:
PMC6707772 DOI:
10.1016/j.ijnonlinmec.2018.11.002]
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Abstract
Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to depend on the volume fraction (hematocrit) and the shear rate. The migration of the red blood cells (RBCs) is studied using a concentration flux equation. A parametric study with two representative problems, namely simple shear flow and a pressure driven flow demonstrate the ability of this reduced-order model to reproduce several key features of the two-fluid model (mixture theory approach), with much lower computational cost.
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